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arXiv · 0908.1781

A Gluing Construction Regarding Point Particles in General Relativity

Iva Stavrov Allen
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Abstract

We develop a gluing construction which adds scaled and truncated asymptotically Euclidean solutions of the Einstein constraint equations to compact solutions with potentially non-trivial cosmological constants. The result is a one-parameter family of initial data which has ordinary and scaled "point-particle" limits analogous to those of Gralla and Wald ("A rigorous derivation of gravitational self-force," Class. Quantum Grav. 2008). In particular, we produce examples of initial data which generalize Schwarzschild - de Sitter initial data and gluing theorems of IMP-type.

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Iva Stavrov Allen. 2009-08-12. A Gluing Construction Regarding Point Particles in General Relativity. https://doi.org/10.1007/s00023-010-0025-8

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